Hello,

As per your percentile and category there are some chances that you might get an NIT or GFTI. That depends on your Jee main rank.
As of private institutes you can apply for the following:
Jaypee university Noida
Indraprastha university
Thappar University
LNMIIT Jaipur etc.
For more details you can check:
https://engineering.careers360.com/jee-main-college-predictor
Hope this will help.
All the best for future.